COEFFICIENTS OF THE PROBABILISTIC FUNCTION OF A MONOLITHIC GROUP

DOI10.1017/S0017089507004053zbMath1134.20021MaRDI QIDQ5444669

Paz Jiménez-Seral

Publication date: 25 February 2008

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

probabilistic zeta functionsfinite monolithic groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Other Dirichlet series and zeta functions (11M41) Probabilistic methods in group theory (20P05)

Related Items (8)

On the (non-)contractibility of the order complex of the coset poset of an alternating group. ⋮ On the \(\Pi\)-property of subgroups of finite groups. ⋮ On profinite groups with polynomially bounded Möbius numbers ⋮ Recognizing the Non-Frattini Abelian Chief Factors of a Finite Group from Its Probabilistic Zeta Function ⋮ On the irreducibility of the Dirichlet polynomial of a simple group of Lie type. ⋮ Finiteness of Profinite Groups with a Rational Probabilistic Zeta Function ⋮ On the irreducibility of the Dirichlet polynomial of an alternating group ⋮ Recognizing \(\mathrm{PSL}(2,p)\) in the non-Frattini chief factors of finite groups.

Cites Work

• Maximal subgroups in composite finite groups
• On normal subgroups which are direct products
• Crowns and factorization of the probabilistic zeta function of a finite group.
• The coset poset and probabilistic zeta function of a finite group
• Classes of Finite Groups
• THE EULERIAN FUNCTIONS OF A GROUP

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